An urn contains 5 balls numbered 1 to 5 of which the first three are black and the last two are gold. A sample of size 2 is drawn with replacement. Let B1 denote the event that the first ball drawn is black and B2 denote the event that the second ball drawn is black.

I) Describe and tabulate the sample space and exhibit the event B1, B2 and B1B2.

ii) Find P(B1), p(B2) and p(B1B2).

iii) Repeat parts (I) and (ii) for sampling with replacement.